10447285728 has 192 divisors, whose sum is σ = 31233081600. Its totient is φ = 3028623360.

The previous prime is 10447285711. The next prime is 10447285729. The reversal of 10447285728 is 82758274401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10447285729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459003 + ... + 3462021.

It is an arithmetic number, because the mean of its divisors is an integer number (162672300).

Almost surely, 2^10447285728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10447285728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616540800).

10447285728 is an abundant number, since it is smaller than the sum of its proper divisors (20785795872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10447285728 is a wasteful number, since it uses less digits than its factorization.

10447285728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 10447285728 in words is "ten billion, four hundred forty-seven million, two hundred eighty-five thousand, seven hundred twenty-eight".